A reformulation of matrix graph grammars with Boolean complexes.
A short note on multivariate dependence modeling
As said by Mareš and Mesiar, necessity of aggregation of complex real inputs appears almost in any field dealing with observed (measured) real quantities (see the citation below). For aggregation of probability distributions Sklar designed his copulas as early as in 1959. But surprisingly, since that time only a very few literature have appeared dealing with possibility to aggregate several different pairwise dependencies into one multivariate copula. In the present paper this problem is tackled...
An extended problem to Bertrand's paradox
Bertrand's paradox is a longstanding problem within the classical interpretation of probability theory. The solutions 1/2, 1/3, and 1/4 were proposed using three different approaches to model the problem. In this article, an extended problem, of which Bertrand's paradox is a special case, is proposed and solved. For the special case, it is shown that the corresponding solution is 1/3. Moreover, the reasons of inconsistency are discussed and a proper modeling approach is determined by careful examination...
Aritmetické grafy
Co neučíme, a měli bychom (a co učíme, ač bychom možná nemuseli)
Degradation in probability logic: When more information leads to less precise conclusions
Probability logic studies the properties resulting from the probabilistic interpretation of logical argument forms. Typical examples are probabilistic Modus Ponens and Modus Tollens. Argument forms with two premises usually lead from precise probabilities of the premises to imprecise or interval probabilities of the conclusion. In the contribution, we study generalized inference forms having three or more premises. Recently, Gilio has shown that these generalized forms “degrade” – more premises...
Dvě historické úlohy v gymnaziální učebnici pravděpodobnosti
El arte de contar.
Faktoriály a kombinační čísla [Book]
Faktoriály a kombinační čísla [Book]
Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications
These notes are intended to provide a self-contained introduction to the basic ideas of finite dimensional Batalin-Vilkovisky (BV) formalism and its applications. A brief exposition of super- and graded geometries is also given. The BV–formalism is introduced through an odd Fourier transform and the algebraic aspects of integration theory are stressed. As a main application we consider the perturbation theory for certain finite dimensional integrals within BV-formalism. As an illustration we present...
Jak pivovarský sládek způsobil revoluci ve statistice
Jedním z nejpoužívanějších testů statistické významnosti je tzv. Studentův t-test. Autorem matematického modelu, na kterém je tento test založen, je britský statistik William Sealy Gosset (1876-1937). Článek popisuje podstatu a vznik tohoto testu v matematickém a historickém kontextu.
Jak vytváří statistika obrazy světa a života. I. díl [Book]
Jak vytváří statistika obrazy světa a života. II. díl [Book]
Kombinace nejen s nesousedními členy
Kombinatorika [Book]
Kombinatorika a počet pravděpodobnosti na středních školách